Best Known (13, 13+24, s)-Nets in Base 27
(13, 13+24, 96)-Net over F27 — Constructive and digital
Digital (13, 37, 96)-net over F27, using
- t-expansion [i] based on digital (11, 37, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(13, 13+24, 116)-Net in Base 27 — Constructive
(13, 37, 116)-net in base 27, using
- 7 times m-reduction [i] based on (13, 44, 116)-net in base 27, using
- base change [i] based on digital (2, 33, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- base change [i] based on digital (2, 33, 116)-net over F81, using
(13, 13+24, 136)-Net over F27 — Digital
Digital (13, 37, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(13, 13+24, 5263)-Net in Base 27 — Upper bound on s
There is no (13, 37, 5264)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 91417 838118 066189 028329 958383 931260 391362 980042 292097 > 2737 [i]